440 lines
12 KiB
Factor
440 lines
12 KiB
Factor
USING: accessors combinators fry kernel literals math math.intervals
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math.intervals.private math.order math.statistics random sequences
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sequences.deep tools.test vocabs ;
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IN: math.intervals.tests
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{ empty-interval } [ 2 2 (a,b) ] unit-test
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{ empty-interval } [ 2 2.0 (a,b) ] unit-test
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{ empty-interval } [ 2 2 [a,b) ] unit-test
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{ empty-interval } [ 2 2 (a,b] ] unit-test
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{ empty-interval } [ 3 2 [a,b] ] unit-test
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{ T{ interval f { 1 t } { 2 t } } } [ 1 2 [a,b] ] unit-test
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{ T{ interval f { 1 t } { 2 f } } } [ 1 2 [a,b) ] unit-test
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{ T{ interval f { 1 f } { 2 f } } } [ 1 2 (a,b) ] unit-test
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{ T{ interval f { 1 f } { 2 t } } } [ 1 2 (a,b] ] unit-test
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{ T{ interval f { 1 t } { 1 t } } } [ 1 [a,a] ] unit-test
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! Not sure how to handle NaNs yet...
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! [ 1 0/0. [a,b] ] must-fail
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! [ 0/0. 1 [a,b] ] must-fail
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{ t } [ { 3 t } { 3 f } endpoint< ] unit-test
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{ t } [ { 2 f } { 3 f } endpoint< ] unit-test
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{ f } [ { 3 f } { 3 t } endpoint< ] unit-test
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{ t } [ { 4 f } { 3 t } endpoint> ] unit-test
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{ f } [ { 3 f } { 3 t } endpoint> ] unit-test
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{ empty-interval } [ 1 2 [a,b] empty-interval interval+ ] unit-test
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{ empty-interval } [ empty-interval 1 2 [a,b] interval+ ] unit-test
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{ t } [
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1 2 [a,b] -3 3 [a,b] interval+ -2 5 [a,b] =
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] unit-test
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{ t } [
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1 2 [a,b] -3 3 (a,b) interval+ -2 5 (a,b) =
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] unit-test
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{ empty-interval } [ 1 2 [a,b] empty-interval interval- ] unit-test
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{ empty-interval } [ empty-interval 1 2 [a,b] interval- ] unit-test
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{ t } [
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1 2 [a,b] 0 1 [a,b] interval- 0 2 [a,b] =
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] unit-test
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{ empty-interval } [ 1 2 [a,b] empty-interval interval* ] unit-test
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{ empty-interval } [ empty-interval 1 2 [a,b] interval* ] unit-test
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{ t } [
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1 2 [a,b] 0 4 [a,b] interval* 0 8 [a,b] =
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] unit-test
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{ t } [
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1 2 [a,b] -4 4 [a,b] interval* -8 8 [a,b] =
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] unit-test
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{ t } [
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1 2 [a,b] -0.5 0.5 [a,b] interval* -1.0 1.0 [a,b] =
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] unit-test
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{ t } [
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1 2 [a,b] -0.5 0.5 (a,b] interval* -1.0 1.0 (a,b] =
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] unit-test
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{ t } [
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-1 1 [a,b] -1 1 (a,b] interval* -1 1 [a,b] =
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] unit-test
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{ t } [ 1 2 [a,b] dup empty-interval interval-union = ] unit-test
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{ t } [ 1 2 [a,b] empty-interval over interval-union = ] unit-test
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{ t } [
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0 1 (a,b) 0 1 [a,b] interval-union 0 1 [a,b] =
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] unit-test
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{ t } [
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0 1 (a,b) 1 2 [a,b] interval-union 0 2 (a,b] =
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] unit-test
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{ t } [
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0 1 (a,b) 0 1 [a,b] interval-intersect 0 1 (a,b) =
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] unit-test
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{ empty-interval } [ 0 5 [a,b] -1 [a,a] interval-intersect ] unit-test
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{ empty-interval } [ 0 5 (a,b] 0 [a,a] interval-intersect ] unit-test
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{ empty-interval } [ empty-interval -1 [a,a] interval-intersect ] unit-test
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{ empty-interval } [ 0 5 (a,b] empty-interval interval-intersect ] unit-test
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{ t } [
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0 1 (a,b) full-interval interval-intersect 0 1 (a,b) =
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] unit-test
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{ t } [
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empty-interval empty-interval interval-subset?
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] unit-test
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{ t } [
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empty-interval 0 1 [a,b] interval-subset?
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] unit-test
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{ t } [
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0 1 (a,b) 0 1 [a,b] interval-subset?
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] unit-test
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{ t } [
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full-interval -1/0. 1/0. [a,b] interval-subset?
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] unit-test
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{ t } [
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-1/0. 1/0. [a,b] full-interval interval-subset?
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] unit-test
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{ f } [
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full-interval 0 1/0. [a,b] interval-subset?
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] unit-test
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{ t } [
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0 1/0. [a,b] full-interval interval-subset?
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] unit-test
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{ f } [
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0 0 1 (a,b) interval-contains?
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] unit-test
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{ t } [
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0.5 0 1 (a,b) interval-contains?
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] unit-test
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{ f } [
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1 0 1 (a,b) interval-contains?
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] unit-test
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{ empty-interval } [ -1 1 (a,b) empty-interval interval/ ] unit-test
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{ t } [ 0 0 331 [a,b) -1775 -953 (a,b) interval/ interval-contains? ] unit-test
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{ t } [ -1 1 (a,b) -1 1 (a,b) interval/ [-inf,inf] = ] unit-test
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{ t } [ -1 1 (a,b) 0 1 (a,b) interval/ [-inf,inf] = ] unit-test
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"math.ratios.private" lookup-vocab [
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[ t ] [
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-1 1 (a,b) 0.5 1 (a,b) interval/ -2.0 2.0 (a,b) =
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] unit-test
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] when
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{ f } [ empty-interval interval-singleton? ] unit-test
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{ t } [ 1 [a,a] interval-singleton? ] unit-test
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{ f } [ 1 1 [a,b) interval-singleton? ] unit-test
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{ f } [ 1 3 [a,b) interval-singleton? ] unit-test
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{ f } [ 1 1 (a,b) interval-singleton? ] unit-test
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{ 2 } [ 1 3 [a,b) interval-length ] unit-test
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{ 0 } [ empty-interval interval-length ] unit-test
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{ t } [ 0 5 [a,b] 5 [a,a] interval<= ] unit-test
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{ incomparable } [ empty-interval 5 [a,a] interval< ] unit-test
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{ incomparable } [ 5 [a,a] empty-interval interval< ] unit-test
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{ incomparable } [ 0 5 [a,b] 5 [a,a] interval< ] unit-test
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{ t } [ 0 5 [a,b) 5 [a,a] interval< ] unit-test
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{ f } [ 0 5 [a,b] -1 [a,a] interval< ] unit-test
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{ incomparable } [ 0 5 [a,b] 1 [a,a] interval< ] unit-test
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{ t } [ -1 1 (a,b) -1 [a,a] interval> ] unit-test
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{ t } [ -1 1 (a,b) -1 [a,a] interval>= ] unit-test
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{ f } [ -1 1 (a,b) -1 [a,a] interval< ] unit-test
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{ f } [ -1 1 (a,b) -1 [a,a] interval<= ] unit-test
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{ t } [ -1 1 (a,b] 1 [a,a] interval<= ] unit-test
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{ t } [ -1 1 (a,b] 1 2 [a,b] interval<= ] unit-test
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{ incomparable } [ -1 1 (a,b] empty-interval interval>= ] unit-test
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{ incomparable } [ empty-interval -1 1 (a,b] interval>= ] unit-test
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{ incomparable } [ -1 1 (a,b] 1 2 [a,b] interval>= ] unit-test
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{ incomparable } [ -1 1 (a,b] 1 2 [a,b] interval> ] unit-test
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{ t } [ -1 1 (a,b] 1 2 (a,b] interval<= ] unit-test
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{ f } [ 0 10 [a,b] 0 [a,a] interval< ] unit-test
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{ f } [ 0 10 [a,b] 0.0 [a,a] interval< ] unit-test
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{ f } [ 0.0 10 [a,b] 0 [a,a] interval< ] unit-test
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{ f } [ 0 10 [a,b] 10 [a,a] interval> ] unit-test
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{ incomparable } [ 0 [a,a] 0 10 [a,b] interval< ] unit-test
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{ incomparable } [ 10 [a,a] 0 10 [a,b] interval> ] unit-test
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{ t } [ 0 [a,a] 0 10 [a,b] interval<= ] unit-test
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{ incomparable } [ 0 [a,a] 0 10 [a,b] interval>= ] unit-test
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{ t } [ 0 10 [a,b] 0 [a,a] interval>= ] unit-test
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{ t } [
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418
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418 423 [a,b)
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79 893 (a,b]
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interval-max
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interval-contains?
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] unit-test
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{ t } [ full-interval 10 10 [a,b] interval-max 10 1/0. [a,b] = ] unit-test
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{ t } [ full-interval 10 10 [a,b] interval-min -1/0. 10 [a,b] = ] unit-test
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{ t } [ 1 100 [a,b] -1 1 [a,b] interval/i [-inf,inf] = ] unit-test
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! Accuracy of interval-mod
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{ t } [ full-interval 40 40 [a,b] interval-mod -40 40 (a,b) interval-subset?
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] unit-test
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! Interval random tester
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: random-element ( interval -- n )
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dup full-interval eq? [
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drop 32 random-bits 31 2^ -
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] [
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[ ] [ from>> first ] [ to>> first ] tri over - random +
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2dup swap interval-contains? [
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nip
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] [
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drop random-element
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] if
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] if ;
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: random-interval ( -- interval )
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10 random 0 = [ full-interval ] [
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2000 random 1000 - dup 2 1000 random + +
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1 random zero? [ [ neg ] bi@ swap ] when
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4 random {
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{ 0 [ [a,b] ] }
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{ 1 [ [a,b) ] }
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{ 2 [ (a,b) ] }
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{ 3 [ (a,b] ] }
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} case
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] if ;
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: unary-ops ( -- alist )
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{
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{ bitnot interval-bitnot }
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{ abs interval-abs }
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{ 2/ interval-2/ }
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{ neg interval-neg }
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}
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"math.ratios.private" lookup-vocab [
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{ recip interval-recip } suffix
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] when ;
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: unary-test ( op -- ? )
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[ random-interval ] dip
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0 pick interval-contains? over first \ recip eq? and [
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2drop t
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] [
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[ [ random-element ] dip first execute( a -- b ) ] 2keep
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second execute( a -- b ) interval-contains?
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] if ;
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unary-ops [
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[ [ t ] ] dip '[ 8000 [ drop _ unary-test ] all-integers? ] unit-test
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] each
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: binary-ops ( -- alist )
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{
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{ + interval+ }
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{ - interval- }
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{ * interval* }
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{ /i interval/i }
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{ mod interval-mod }
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{ rem interval-rem }
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{ bitand interval-bitand }
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{ bitor interval-bitor }
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{ bitxor interval-bitxor }
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{ min interval-min }
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{ max interval-max }
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}
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"math.ratios.private" lookup-vocab [
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{ / interval/ } suffix
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] when ;
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: binary-test ( op -- ? )
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[ random-interval random-interval ] dip
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0 pick interval-contains? over first { / /i mod rem } member? and [
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3drop t
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] [
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[ [ [ random-element ] bi@ ] dip first execute( a b -- c ) ] 3keep
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second execute( a b -- c ) interval-contains?
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] if ;
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binary-ops [
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[ [ t ] ] dip '[ 8000 <iota> [ drop _ binary-test ] all? ] unit-test
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] each
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: comparison-ops ( -- alist )
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{
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{ < interval< }
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{ <= interval<= }
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{ > interval> }
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{ >= interval>= }
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} ;
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: comparison-test ( op -- ? )
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[ random-interval random-interval ] dip
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[ [ [ random-element ] bi@ ] dip first execute( a b -- ? ) ] 3keep
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second execute( a b -- ? ) dup incomparable eq? [ 2drop t ] [ = ] if ;
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comparison-ops [
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[ [ t ] ] dip '[ 8000 <iota> [ drop _ comparison-test ] all? ] unit-test
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] each
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{ t } [ -10 10 [a,b] 0 100 [a,b] assume> 0 10 (a,b] = ] unit-test
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{ t } [ -10 10 [a,b] 0 100 [a,b] assume>= 0 10 [a,b] = ] unit-test
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{ t } [ -10 10 [a,b] 0 100 [a,b] assume< -10 10 [a,b] = ] unit-test
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{ t } [ -10 10 [a,b] -100 0 [a,b] assume< -10 0 [a,b) = ] unit-test
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{ t } [ -10 10 [a,b] -100 0 [a,b] assume<= -10 0 [a,b] = ] unit-test
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{ t } [ -10 10 [a,b] 0 100 [a,b] assume<= -10 10 [a,b] = ] unit-test
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{ t } [ -10 10 [a,b] interval-abs 0 10 [a,b] = ] unit-test
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{ t } [ full-interval interval-abs [0,inf] = ] unit-test
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{ t } [ [0,inf] interval-abs [0,inf] = ] unit-test
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{ t } [ empty-interval interval-abs empty-interval = ] unit-test
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{ t } [ [0,inf] interval-sq [0,inf] = ] unit-test
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! Test that commutative interval ops really are
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: random-interval-or-empty ( -- obj )
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10 random 0 = [ empty-interval ] [ random-interval ] if ;
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: commutative-ops ( -- seq )
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{
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interval+ interval*
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interval-bitor interval-bitand interval-bitxor
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interval-max interval-min
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} ;
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commutative-ops [
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[ [ t ] ] dip '[
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8000 <iota> [
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drop
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random-interval-or-empty random-interval-or-empty _
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[ execute ] [ swapd execute ] 3bi =
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] all?
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] unit-test
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] each
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! Test singleton behavior
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{ f } [ full-interval interval-nonnegative? ] unit-test
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{ t } [ empty-interval interval-nonnegative? ] unit-test
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{ t } [ full-interval interval-zero? ] unit-test
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{ f } [ empty-interval interval-zero? ] unit-test
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{ f } [ -1/0. 1/0. [ empty-interval interval-contains? ] bi@ or ] unit-test
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{ t } [ -1/0. 1/0. [ full-interval interval-contains? ] bi@ and ] unit-test
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! Interval bitand
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${ 0 0xaf [a,b] } [ 0 0xff [a,b] 0 0xaf [a,b] interval-bitand ] unit-test
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${ -0x100 -10 [a,b] } [ -0xff -1 [a,b] -0xaf -10 [a,b] interval-bitand ] unit-test
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${ -0x100 10 [a,b] } [ -0xff 1 [a,b] -0xaf 10 [a,b] interval-bitand ] unit-test
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${ 0 0xff [a,b] } [ -0xff -1 [a,b] 0 0xff [a,b] interval-bitand ] unit-test
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! Interval bitor
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{ 1/0. } [ 1/0. bit-weight ] unit-test
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{ 1/0. } [ -1/0. bit-weight ] unit-test
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{ t } [
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16 <iota> dup [ bitor ] cartesian-map flatten
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[ 0 15 [a,b] interval-contains? ] all?
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] unit-test
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${ 0 256 [a,b] } [ 0 255 [a,b] dup interval-bitor ] unit-test
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${ 0 512 [a,b] } [ 0 256 [a,b] dup interval-bitor ] unit-test
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${ -128 127 [a,b] } [ -128 127 [a,b] dup interval-bitor ] unit-test
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${ -256 255 [a,b] } [ -128 128 [a,b] dup interval-bitor ] unit-test
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{ full-interval } [ full-interval -128 127 [a,b] interval-bitor ] unit-test
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${ 0 [a,inf] } [ 0 [a,inf] dup interval-bitor ] unit-test
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{ full-interval } [ 0 [-inf,a] dup interval-bitor ] unit-test
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${ 4 [a,inf] } [ 4 [a,inf] 3 [a,inf] interval-bitor ] unit-test
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! Interval bitxor
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${ 0 255 [a,b] } [ 0 255 [a,b] dup interval-bitxor ] unit-test
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${ 0 511 [a,b] } [ 0 256 [a,b] dup interval-bitxor ] unit-test
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${ -128 127 [a,b] } [ -128 127 [a,b] dup interval-bitxor ] unit-test
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${ -256 255 [a,b] } [ -128 128 [a,b] dup interval-bitxor ] unit-test
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${ 0 127 [a,b] } [ -128 -1 [a,b] dup interval-bitxor ] unit-test
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{ full-interval } [ full-interval -128 127 [a,b] interval-bitxor ] unit-test
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${ 0 [a,inf] } [ 0 [a,inf] dup interval-bitxor ] unit-test
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${ 0 [a,inf] } [ -1 [-inf,a] dup interval-bitxor ] unit-test
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${ 0 [a,inf] } [ 4 [a,inf] 3 [a,inf] interval-bitxor ] unit-test
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{ full-interval } [ 4 [a,inf] -3 [a,inf] interval-bitxor ] unit-test
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